Model reduction for a class of singularly perturbed stochastic differential equations

A class of singularly perturbed stochastic differential equations (SDE) with linear drift and nonlinear diffusion terms is considered. We prove that, on a finite time interval, the trajectories of the slow variables can be well approximated by those of a system with reduced dimension as the singular...

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Bibliographic Details
Main Authors: Herath, Narmada K, Hamadeh, Abdullah, Del Vecchio, Domitilla
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers (IEEE) 2017
Online Access:http://hdl.handle.net/1721.1/109532
https://orcid.org/0000-0003-2194-3051
https://orcid.org/0000-0001-6302-1819
https://orcid.org/0000-0001-6472-8576